Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7
Answer:
A numerical coefficient is a constant multiplier of the variables in a term. so it would be 3x cause it has a number and a variable.
a variable is a symbol which functions as a placeholder for varying expression or quantities, so x is the variable.
a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. so it would be the 2
Step-by-step explanation:
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....

Subtract sides -3x


Divided sides by -4


This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :

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We have following equation to find the point-slope form of the linear functions.

Now just need to put the slope and the given point in the above equation.

Multiply sides by 4


Plus sides 24


Subtract sides -3x


And we're done....♥️♥️♥️♥️♥️
Yes, it isn’t a fraction, decimal, or mixed number.